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Finding the Fourth Proportional to 229,111.62, 316,286.01 and 205,142.10

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Solution

The fourth proportional to 229,111.62, 316,286.01 and 205,142.10 is: 283,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,111.62 : 316,286.01 = 205,142.10 : x
  2. Step 2: Convert to fraction form
    229,111.62/316,286.01 = 205,142.10/x
  3. Step 3: Cross multiply
    229,111.62x = 316,286.01 × 205,142.10
  4. Step 4: Simplify right side
    229,111.62x = 64,883,576,292.02
  5. Step 5: Solve for x
    x = 64,883,576,292.02/229,111.62
  6. Step 6: Final answer
    x = 283,196.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.